Verifying an algorithm computing Discrete Vector Fields for digital imaging
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Universidad de La Rioja
info
ISBN: 978-3-642-35139-6
Datum der Publikation: 2012
Ausgabe: 7362 LNAI
Seiten: 216-230
Art: Buch-Kapitel
Projekte im Zusammenhang
Zusammenfassung
In this paper, we present a formalization of an algorithm to construct admissible discrete vector fields in the Coq theorem prover taking advantage of the SSReflect library. Discrete vector fields are a tool which has been welcomed in the homological analysis of digital images since it provides a procedure to reduce the amount of information but preserving the homological properties. In particular, thanks to discrete vector fields, we are able to compute, inside Coq, homological properties of biomedical images which otherwise are out of the reach of this system. © 2012 Springer-Verlag.